Class 9 Math Chapter 1 Question Answer
Very Important Notes of Class 9 Math Chapter 1 Question Answer on Matrices and Determinants of Chapter No.1: Matrices and Determinants notes written by Professor Asad Khalid Suib. These notes are very helpful in the preparation of Class 9 Math Chapter 1 Question Answer for the students of Mathematics Science group of the (9 class) Matriculation and these are according to the paper patterns of all Punjab boards.
Summary and Contents:
Topics which are discussed in the notes are given below:
- Here are the detailed 9th class math chapter 1 question answer pdf to help you prepare for your exams.
- Complete chapter test according to the paper patterns of all Punjab boards of Chapter No.1: Matrices and Determinants 9th class Mathematics Science group in English medium.
- Complete Multiple Choice Questions (MCQs) of Chapter No.1: Matrices and Determinants 9th class Mathematics Science group in English medium.
- Complete Chapter exercise wise solved questions of Chapter No.1: Matrices and Determinants 9th class Mathematics Science group in English medium.
- Complete chapter review exercise questions of Chapter No.1: Matrices and Determinants 9th class Mathematics Science group in English medium.
- Important definitions Asking in board question papers of Chapter No.1: Matrices and Determinants 9th class Mathematics Science group in English medium.
- Define a matrix with real entries and relate its rectangular layout (formation) with real life,
- Define rows and columns of a matrix,
- Define the order of a matrix,
- Define Equality of two matrices.
- Define and identify row matrix, column matrix, rectangular matrix, square matrix, zero/null matrix, diagonal matrix, scalar matrix, identity matrix, transpose of a matrix, symmetric and skew-symmetric matrices.
- Know whether the given matrices are suitable for addition/ subtraction.
- You can also download the 9th class math chapter 1 question answer pdf download for free.
- Add and subtract matrices.
- Multiply a matrix by a real number.
- Verify commutative and associative laws under addition.
- Define Additive identity of a matrix.
- Know whether the given matrices are suitable for multiplication.
- Multiply two (or three) matrices.
- Verify associative law under multiplication.
- Verify distributive laws.
- Show with the help of an example that commutative law under
- multiplication does not hold in general (i.e., AB ≠ BA).
- Define Multiplicative identity of a matrix.
- Verify the result (A B)t = Bt At.
- Define the determinant of a square matrix.
- Evaluate determinant of a matrix.
- Define singular and non-singular matrices.
- Define adjoint of a matrix.
- Find multiplicative inverse of a non-singular matrix A and verify that AA-1 = I = A-1A where I is the identity matrix.
- Use adjoint method to calculate inverse of a non-singular matrix.
- Verify the result (AB)-1 = B-1A-1
- Solve a system of two linear equations and related real life problems in two unknowns using
- Matrix inversion method,
- Cramer’ s rule
- Introduction: The matrices and determinants are used in the field of Mathematics, Physics, Statistics, Electronics and other branches of science. The matrices have played a very important role in this age of Computer Science.
- The idea of matrices was given by Arthur Cayley, an English mathematician of nineteenth century, who first developed, “Theory of Matrices” in 1858.
- We term the real numbers used in the formation of a matrix as entries or elements of the matrix. (Plural of matrix is matrices). The matrices are denoted conventionally by the capital letters A, B, C, M, N etc, of the English alphabets.
- Transpose of a Matrix: A matrix obtained by interchanging the rows into columns or columns into rows of a matrix is called transpose of that matrix. If A is a matrix, then its transpose is denoted by At.
- Negative of a Matrix: Let A be a matrix. Then its negative, -A is obtained by changing the signs of all the entries of A, i.e.,
- Diagonal Matrix: A square matrix A is called a diagonal matrix if atleast any one of the entries of its diagonal is not zero and non-diagonal entries are zero.
- Subtraction of Matrices: If A and B are two matrices of same order, then subtraction of matrix B from matrix A is obtained by subtracting the entries of matrix B from the corresponding entries of matrix A and it is denoted by A – B.